Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Then, answer the following questions using complete sentences.How many terms are in the simplified expression?
How many of the terms in the simplified expression are negative?

Answers

Answer 1

Answer: combine like terms
assuming those 2s are exponents

-3x^2+2y^2+5xy-2y+5x^2-3y^2
move all x's together all y's together and all xy's together

-3x^2+5x^2+2y^2-3y^2+5xy
combne like terms
2x^2-y^2+5xy

3 terms
1 term is negative

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-5+-2 minus 2a =14a they are negative numbers
Which shows 232 − 172 being evaluated using the difference of perfect squares method?232 − 172 = (529 + 289)(529 − 289) = 196,320 232 − 172 = 529 − 289 = 240 232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240 232 − 172 = (23 − 17)2 = (6)2 = 36

What is the absolute value of the complex number -4 - square root of 2iA) square root of 14
B) 3 square root of 2
C) 14
D) 18

Answers

The absolute value of the complex number $z=a+bi$ is $|z|=√(a^2+b^2).$

Consider the complex number $z=-4-√(2)i.$ For this complex number $a=-4$ and $b=-√(2).$

Therefore, the absolute value of this complex number is

$|z|=\sqrt{(-4)^2+(-√(2))^2}=√(16+2)=√(18)=3√(2).$

Answer: correct choice is B

A) square root of 14

Graph the second equation to find the solution of the system of equations.y = –x,

y = 2x + 6

What is the point of intersection

Answers

Answer: (-2,2)

Explanation: I plugged it into a graphing calc!

Answer:

So the point of intersection would be -x=2x+6

and then we'll subtract 2x on both sides and get -3x=6

this will result in x=-2

Then we'll substitute that into y=-x, so y=2

Therefore the point of intersection is (-2,2)

Hope I helped, have a nice day :)

What adds to negative ten and multiplies to six

Answers

I see your doing trinomials. It would be prime because nothing adds to negative ten and multiplies to six.

Helen had 5/6 can of orange juice. She spilled 2/6 of a can. How much juice did Helen have left?

Answers

Given: 5/6 can of orange , 2/6 can of orange spilled

Unknown: How much juice did Helen have left?

Solution: 5/6-2/6=n

Answer: 1/2 juice left for Helen

Yeah I don’t get this

Answers

using pythagorean theorem

a^2 + b^2 = c^2

(12x)^2 + (16x)^2 = 10^2

square each term

144x^2 + 256x^2 = 100

combine like terms

400 x^2 = 100

divide by 400 on each side

x^2 = 1/4

take the square root on each side

x = 1/2

Answer: x=1/2

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of avehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?